Conservation laws, Korteweg-de Vries and sine-Gordon systems, and the role of supersymmetry

It is shown that the eigenvalue problem of the L operator for the sine-Gordon equation can be put in a supersymmetric form. We comment on the connection between the conserved quantities of the Korteweg--de Vries and sine-Gordon systems.

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Bibliographische Detailangaben
Veröffentlicht in:	Phys. Rev. D; (United States) 1989-02, Vol.39 (4), p.1186-1189
Hauptverfasser:	Bagchi, B, Lahiri, A, Roy, PK
Format:	Artikel
Sprache:	eng
Schlagworte:	645300 - High Energy Physics- Particle Invariance Principles & Symmetries BOUND STATE BOUNDARY CONDITIONS Classical and quantum physics: mechanics and fields CONSERVATION LAWS DIFFERENTIAL EQUATIONS EIGENVALUES EQUATIONS Exact sciences and technology FIELD EQUATIONS HAMILTONIANS KORTEWEG-DE VRIES EQUATION MATHEMATICAL OPERATORS MATRICES MECHANICS PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POTENTIALS QUANTUM MECHANICS QUANTUM OPERATORS QUASI PARTICLES S MATRIX SINE-GORDON EQUATION SOLITONS SUPERSYMMETRY SYMMETRY Theory of quantized fields
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Beschreibung
Zusammenfassung:	It is shown that the eigenvalue problem of the L operator for the sine-Gordon equation can be put in a supersymmetric form. We comment on the connection between the conserved quantities of the Korteweg--de Vries and sine-Gordon systems.
ISSN:	0556-2821 1089-4918
DOI:	10.1103/PhysRevD.39.1186